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Finding the Third Proportional to 140,453 and 307,183

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Solution

The third proportional to 140,453 and 307,183 is: 671,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,453 : 307,183 = 307,183 : x
  2. Step 2: Convert to fraction form
    140,453/307,183 = 307,183/x
  3. Step 3: Cross multiply
    140,453x = 307,183 × 307,183
  4. Step 4: Simplify right side
    140,453x = 94,361,395,489
  5. Step 5: Solve for x
    x = 94,361,395,489/140,453
  6. Step 6: Final answer
    x = 671,836.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.